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Related papers: Quantum-classical crossover in the spin 1/2 XXZ ch…

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We use the concept of typicality to study the real-time dynamics of spin and energy currents in spin-1/2 models in one dimension and at nonzero temperatures. These chains are the integrable XXZ chain and a nonintegrable modification due to…

Strongly Correlated Electrons · Physics 2015-03-10 Robin Steinigeweg , Jochen Gemmer , Wolfram Brenig

The transverse spin autocorrelation function at an arbitrary temperature are calculated rigorously for the system of $N$ uniformly exchanged quantum spins. At large $N$ the correlator in the para-phase is found to have a Gaussian bump at…

Condensed Matter · Physics 2007-05-23 M. Chertkov , I. Kolokolov

Asymptotically exact low temperature expansions for the $s=1/2$ Heisenberg XXZ chains with boundaries are implemented by using the boundary conformal field theory. It is found that for $1/2<\Delta\leq 1$, ($\Delta$, an anisotropic…

Strongly Correlated Electrons · Physics 2007-05-23 Satoshi Fujimoto

Near a quantum critical point (QCP) in a metal, strong Fermion-Fermion interactions mediated by soft collective bosons give rise to two competing phenomena: non-Fermi liquid behavior and superconductivity that deviates from conventional BCS…

Superconductivity · Physics 2025-12-24 Ahmed Elezaby , Artem Abanov

In this paper we continue our derivation of the correlation functions of open quantum spin 1/2 chains with unparallel magnetic fields on the edges; this time for the more involved case of the XXZ spin 1/2 chains. We develop our study in the…

Mathematical Physics · Physics 2025-08-01 G. Niccoli , V. Terras

We demonstrate quantum critical scaling for an $S=1/2$ Heisenberg antiferromagnetic chain compound CuPzN in a magnetic field around saturation, by analysing previously reported magnetization [Y. Kono {\it et al.}, Phys. Rev. Lett. {\bf…

Strongly Correlated Electrons · Physics 2015-11-16 M. Jeong , H. M. Rønnow

The problem of the Kosterlitz-Thouless (KT) transition in the highly frustrated XY Kagom\'{e} antiferromagnet is solved. The problem is mapped onto that of the KT transition in the XY ferromagnet on the hexagonal lattice. The transition…

Condensed Matter · Physics 2007-05-23 V. B. Cherepanov , I. V. Kolokolov , E. V. Podivilov

The bivariate high-temperature expansion of the spin-spin correlation-function of the three-dimensional classical XY (planar rotator) model, with spatially-anisotropic nearest-neighbor couplings, is extended from the 10th through the 21st…

High Energy Physics - Lattice · Physics 2010-04-30 P. Butera , M. Pernici

Correlation functions of the XXZ spin chain in the critical regime is studied at zero-temperature. They are exactly represented in the Fredholm determinant form and are related with an operator-valued Riemann-Hilbert problem. Analyzing this…

Condensed Matter · Physics 2009-10-31 Yasuhiro Fujii , Miki Wadati

We explain how to compute correlation functions at zero temperature within the framework of the quantum version of the Separation of Variables (SoV) in the case of a simple model: the XXX Heisenberg chain of spin 1/2 with twisted…

Mathematical Physics · Physics 2021-01-13 G. Niccoli , H. Pei , V. Terras

We evaluate numerically certain multiple integrals representing nearest and next-nearest neighbor correlation functions of the spin-1/2 $XXZ$ Heisenberg infinite chain at finite temperatures.

Statistical Mechanics · Physics 2009-11-11 Michael Bortz , Frank Göhmann

Using the algebraic Bethe ansatz method, and the solution of the quantum inverse scattering problem for local spins, we obtain multiple integral representations of the $n$-point correlation functions of the XXZ Heisenberg spin-$1 \over 2$…

Mathematical Physics · Physics 2018-08-30 N. Kitanine , J. M. Maillet , V. Terras

The static and dynamic properties of the anisotropic XY-model $(s=1/2)$ on the inhomogeneous periodic chain, composed of $N$ cells with $n$ different exchange interactions and magnetic moments, in a transverse field $h,$ are determined…

Statistical Mechanics · Physics 2009-11-13 J. P. de Lima , L. L. Goncalves , T. F. A. Alves

We present the results of Monte Carlo simulations for the antiferromagnetic classical XXZ model with easy-plane exchange anisotropy on the triangular lattice, which causes frustration of the spin alignment. The behaviour of this system is…

Statistical Mechanics · Physics 2009-10-30 Luca Capriotti , Ruggero Vaia , Alessandro Cuccoli , Valerio Tognetti

Motivated by recent investigations of transport properties of strongly correlated 1d models and thermal conductivity measurements of quasi 1d magnetic systems we present results for the integrable spin-1/2 $XXZ$ chain. The thermal…

Statistical Mechanics · Physics 2019-12-20 Andreas Kluemper , Kazumitsu Sakai

We study the antiferromagnetic {\it XY} model on a triangular lattice by extensive Monte Carlo simulations, focusing on its ordering and critical properties. Our result clearly shows that two separate transitions occur at two distinct…

Statistical Mechanics · Physics 2012-05-31 Tomoyuki Obuchi , Hikaru Kawamura

We consider the exactly solvable spin-1/2 $XX$ chain with the three-spin interactions of the $XZX+YZY$ and $XZY-YZX$ types in an external (transverse) magnetic field. We calculate the entropy and examine the magnetocaloric effect for the…

Strongly Correlated Electrons · Physics 2012-09-07 Myroslava Topilko , Taras Krokhmalskii , Oleg Derzhko , Vadim Ohanyan

Using high-precision numerical analysis, we show that 3+1 dimensional gauge theories holographically dual to 4+1 dimensional Einstein-Maxwell-Chern-Simons theory undergo a quantum phase transition in the presence of a finite charge density…

High Energy Physics - Theory · Physics 2014-11-20 Eric D'Hoker , Per Kraus

We focus on the transition from quantum to classical behavior in thermodynamic functions and time correlation functions of a system consisting of three identical quantum spins s that interact via isotropic Heisenberg exchange. The partition…

Statistical Mechanics · Physics 2009-10-31 D. Mentrup , H. -J. Schmidt , J. Schnack , Marshall Luban

An isolated spin system that is in internal thermodynamic equilibrium and that has an upper limit to its allowed energy states can possess a negative temperature. We calculate the thermodynamic characteristics and the concurrence in this…

Quantum Physics · Physics 2015-06-15 G. B. Furman , V. M. Meerovich , V. L. Sokolovsky